Application of parameter-expansion method to nonlinear oscillators with discontinuities


Zengin F. O., Kaya M. O., Demirbag S. A.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, cilt.9, sa.3, ss.267-270, 2008 (SCI-Expanded) identifier

Özet

In this paper He's modified Lindstedt-Poincare method and bookkeeping parameter method known as Parameter Expanding Methods are applied to nonlinear oscillators with discontinuities. We obtained sufficiently accurate solutions with first-order approximations which are valid for whole domain. Comparison of the obtained solutions with the exact ones show the proposed methods are very effective and convenient.